Is money as valuable as a marketable skill? Is getting somewhere quickly as valuable as a vehicle?
The intuition of a person who doesn't value rational thinking is going to be worthless in an empirical field. The gut feeling of someone who can't show they are right is not likely to be correct.
Intuition is just the fast-read cache of pre-computed notions. If a problem looks similar but not exactly like a dozen or so others that you have solved in the past, you take a sort of snapshot of all that past work and distill it into an intuitive grasp of the problem.
If you see a problem unlike any you have ever encountered, you are unlikely to have an intuitive idea of the solution. Sometimes people will pull past-solved problems out of their fast-read cache and apply them to unrelated problems in an irrational way; sometimes people will feel their intuition guiding them in a certain way and rationally realize they are projecting subconsciously an unrelated situation onto the problem.
So intuition is only as valuable as its rational basis. Intuition is much more efficient, much like using a rainbow table to crack a password; the table is only as effective as its precomputed hashes; it will never crack a password that hasn't been precomputed. However, compared to a traditional brute-force approach, it's orders of magnitudes more efficient. A brute-force approach however, with enough time will crack any password.